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Firdavs [7]
3 years ago
8

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

Mathematics
2 answers:
mojhsa [17]3 years ago
5 0

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  With some simple algebra we find that w = 9 and l = 12.

Hope this helps!

eimsori [14]3 years ago
3 0

Width is 12 and length is 9

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Can anyone please help me with this ?
djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5\sqrt{2} feet

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Step-by-step explanation:

Given

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Also Let Base of the building be point  B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB =\frac{AB}{BC}

∴ AB= BC =5 feet

The Height of the Skyscraper is 5 feet

Now Triangle ABC is right angle triangle with right angled at B

So by Pythagoras theorem

AC= \sqrt{AB^2+BC^2}=\sqrt{5^2+5^2} =\sqrt{50} =\sqrt{25\times2} =\sqrt{5^2\times2}=5\sqrt{2}

The distance from point A to the top of the building is 5\sqrt{2} feet

5 0
3 years ago
Read 2 more answers
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Hello!
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3 years ago
Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank
stellarik [79]
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Let B =  amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000                  (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
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0.08A + 0.11B = 5000      (2)

From (1), obtain
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Jack's Loan.
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Substitute (6) into (5).
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Answer: Jack borrowed $7,000 from bank A.
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3 years ago
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